A thin metal cylinder of length L and radius R₁ is coaxial with a thin metal cylinder of length L and larger radius R₂. The space between the two coaxial cylinders is filled with a material that has resistivity p. The two cylinders are connected to the terminals of a battery with potential difference AV, causing current I to flow radially from the inner cylinder to the outer cylinder. Find an expression for the resistance of this device in terms of L, R₁, R2, and p.

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A thin metal cylinder of length L and radius R₁ is coaxial with a thin metal cylinder of length L and larger
radius R₂. The space between the two coaxial cylinders is filled with a material that has resistivity p. The
two cylinders are connected to the terminals of a battery with potential difference AV, causing current I to
flow radially from the inner cylinder to the outer cylinder. Find an expression for the resistance of this
device in terms of L, R₁, R₂, and p.
Transcribed Image Text:A thin metal cylinder of length L and radius R₁ is coaxial with a thin metal cylinder of length L and larger radius R₂. The space between the two coaxial cylinders is filled with a material that has resistivity p. The two cylinders are connected to the terminals of a battery with potential difference AV, causing current I to flow radially from the inner cylinder to the outer cylinder. Find an expression for the resistance of this device in terms of L, R₁, R₂, and p.
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